%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEV055^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:35:53 AM UTC 2026
% Result : Theorem 0.24s 0.32s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 131 ( 8 ~; 7 |; 11 &; 91 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 38 ( 0 ^; 36 !; 2 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > a > $o ).
thf(decl_24,type,
esk1_0: ( a > $o ) > a ).
thf(decl_25,type,
esk2_2: ( a > $o ) > a > a ).
thf(decl_26,type,
esk3_0: a > a ).
thf(cTHM402_pme,conjecture,
! [X1: a > a > $o,X2: ( a > $o ) > a] :
( ( ! [X3: a,X4: a,X5: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X3 @ X5 ) )
& ! [X6: a > $o] :
( ! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ ( X2 @ X6 ) ) )
& ! [X7: a] :
( ! [X8: a] :
( ( X6 @ X8 )
=> ( X1 @ X8 @ X7 ) )
=> ( X1 @ ( X2 @ X6 ) @ X7 ) ) ) )
=> ! [X9: a > a] :
( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ ( X9 @ X3 ) @ ( X9 @ X4 ) ) )
=> ? [X10: a] : ( X1 @ X10 @ ( X9 @ X10 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.82e1AUKA2E/E---3.1_3640184.p',cTHM402_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > $o,X2: ( a > $o ) > a] :
( ( ! [X3: a,X4: a,X5: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X3 @ X5 ) )
& ! [X6: a > $o] :
( ! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ ( X2 @ X6 ) ) )
& ! [X7: a] :
( ! [X8: a] :
( ( X6 @ X8 )
=> ( X1 @ X8 @ X7 ) )
=> ( X1 @ ( X2 @ X6 ) @ X7 ) ) ) )
=> ! [X9: a > a] :
( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ ( X9 @ X3 ) @ ( X9 @ X4 ) ) )
=> ? [X10: a] : ( X1 @ X10 @ ( X9 @ X10 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM402_pme]) ).
thf(c_0_2,negated_conjecture,
! [X26: a,X27: a,X28: a,X29: a > $o,X30: a,X31: a,X34: a,X35: a,X36: a] :
( ( ~ ( epred1_0 @ X26 @ X27 )
| ~ ( epred1_0 @ X27 @ X28 )
| ( epred1_0 @ X26 @ X28 ) )
& ( ~ ( X29 @ X30 )
| ( epred1_0 @ X30 @ ( esk1_0 @ X29 ) ) )
& ( ( X29 @ ( esk2_2 @ X29 @ X31 ) )
| ( epred1_0 @ ( esk1_0 @ X29 ) @ X31 ) )
& ( ~ ( epred1_0 @ ( esk2_2 @ X29 @ X31 ) @ X31 )
| ( epred1_0 @ ( esk1_0 @ X29 ) @ X31 ) )
& ( ~ ( epred1_0 @ X34 @ X35 )
| ( epred1_0 @ ( esk3_0 @ X34 ) @ ( esk3_0 @ X35 ) ) )
& ~ ( epred1_0 @ X36 @ ( esk3_0 @ X36 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X3: a] :
~ ( epred1_0 @ X3 @ ( esk3_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X6: a > $o,X3: a] :
( ( X6 @ ( esk2_2 @ X6 @ X3 ) )
| ( epred1_0 @ ( esk1_0 @ X6 ) @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
$false,
inference(flex_resolve,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV055^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n015.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 15:09:02 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.28 Running higher-order theorem proving
% 0.24/0.30 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.82e1AUKA2E/E---3.1_3640184.p
% 0.24/0.32 % Version: 3.5.1-ho
% 0.24/0.32 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.24/0.32 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.32 % Starting sh2lt with 1200s (4) cores
% 0.24/0.32 % Starting new_ho_10_unif with 300s (1) cores
% 0.24/0.32 % Starting full_lambda_6 with 300s (1) cores
% 0.24/0.32 % Starting post_as_ho1 with 300s (1) cores
% 0.24/0.32 % Starting ehoh_best3_rw with 300s (1) cores
% 0.24/0.32 % sh2lt with pid 3640197 completed with status 0
% 0.24/0.32 % Result found by sh2lt
% 0.24/0.32 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.24/0.32 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.32 % Starting sh2lt with 1200s (4) cores
% 0.24/0.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.24/0.32 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.24/0.32 % Search class: HGUNF-FFSF22-SHHFFSBN
% 0.24/0.32 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.24/0.32 % Starting SubtermCWHack with 109s (1) cores
% 0.24/0.32 % Starting sh2lt with 121s (1) cores
% 0.24/0.32 % Starting full_lambda_7 with 109s (1) cores
% 0.24/0.32 % Starting lpo8_lambda_fix with 109s (1) cores
% 0.24/0.32 % sh2lt with pid 3640203 completed with status 0
% 0.24/0.32 % Result found by sh2lt
% 0.24/0.32 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.24/0.32 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.32 % Starting sh2lt with 1200s (4) cores
% 0.24/0.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 0.24/0.32 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 0.24/0.32 % Search class: HGUNF-FFSF22-SHHFFSBN
% 0.24/0.32 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.24/0.32 % Starting SubtermCWHack with 109s (1) cores
% 0.24/0.32 % Starting sh2lt with 121s (1) cores
% 0.24/0.32 % Preprocessing time : 0.002 s
% 0.24/0.32 % Presaturation interreduction done
% 0.24/0.32
% 0.24/0.32 % Proof found!
% 0.24/0.32 % SZS status Theorem
% 0.24/0.32 % SZS output start CNFRefutation
% See solution above
% 0.24/0.32 % Parsed axioms : 2
% 0.24/0.32 % Removed by relevancy pruning/SinE : 1
% 0.24/0.32 % Initial clauses : 6
% 0.24/0.32 % Removed in clause preprocessing : 0
% 0.24/0.32 % Initial clauses in saturation : 6
% 0.24/0.32 % Processed clauses : 18
% 0.24/0.32 % ...of these trivial : 0
% 0.24/0.32 % ...subsumed : 1
% 0.24/0.32 % ...remaining for further processing : 16
% 0.24/0.32 % Other redundant clauses eliminated : 0
% 0.24/0.32 % Clauses deleted for lack of memory : 0
% 0.24/0.32 % Backward-subsumed : 0
% 0.24/0.32 % Backward-rewritten : 2
% 0.24/0.32 % Generated clauses : 22
% 0.24/0.32 % ...of the previous two non-redundant : 14
% 0.24/0.32 % ...aggressively subsumed : 0
% 0.24/0.32 % Contextual simplify-reflections : 0
% 0.24/0.32 % Paramodulations : 18
% 0.24/0.32 % Factorizations : 0
% 0.24/0.32 % NegExts : 0
% 0.24/0.32 % Equation resolutions : 0
% 0.24/0.32 % Disequality decompositions : 0
% 0.24/0.32 % Total rewrite steps : 9
% 0.24/0.32 % ...of those cached : 1
% 0.24/0.32 % Propositional unsat checks : 0
% 0.24/0.32 % Propositional check models : 0
% 0.24/0.32 % Propositional check unsatisfiable : 0
% 0.24/0.32 % Propositional clauses : 0
% 0.24/0.32 % Propositional clauses after purity: 0
% 0.24/0.32 % Propositional unsat core size : 0
% 0.24/0.32 % Propositional preprocessing time : 0.000
% 0.24/0.32 % Propositional encoding time : 0.000
% 0.24/0.32 % Propositional solver time : 0.000
% 0.24/0.32 % Success case prop preproc time : 0.000
% 0.24/0.32 % Success case prop encoding time : 0.000
% 0.24/0.32 % Success case prop solver time : 0.000
% 0.24/0.32 % Current number of processed clauses : 8
% 0.24/0.32 % Positive orientable unit clauses : 2
% 0.24/0.32 % Positive unorientable unit clauses: 0
% 0.24/0.32 % Negative unit clauses : 1
% 0.24/0.32 % Non-unit-clauses : 5
% 0.24/0.32 % Current number of unprocessed clauses: 8
% 0.24/0.32 % ...number of literals in the above : 18
% 0.24/0.32 % Current number of archived formulas : 0
% 0.24/0.32 % Current number of archived clauses : 8
% 0.24/0.32 % Clause-clause subsumption calls (NU) : 6
% 0.24/0.32 % Rec. Clause-clause subsumption calls : 6
% 0.24/0.32 % Non-unit clause-clause subsumptions : 0
% 0.24/0.32 % Unit Clause-clause subsumption calls : 0
% 0.24/0.32 % Rewrite failures with RHS unbound : 0
% 0.24/0.32 % BW rewrite match attempts : 2
% 0.24/0.32 % BW rewrite match successes : 2
% 0.24/0.32 % Condensation attempts : 0
% 0.24/0.32 % Condensation successes : 0
% 0.24/0.32 % Termbank termtop insertions : 1392
% 0.24/0.32 % Search garbage collected termcells : 353
% 0.24/0.32
% 0.24/0.32 % -------------------------------------------------
% 0.24/0.32 % User time : 0.006 s
% 0.24/0.32 % System time : 0.003 s
% 0.24/0.32 % Total time : 0.009 s
% 0.24/0.32 % Maximum resident set size: 3644 pages
% 0.24/0.32
% 0.24/0.32 % -------------------------------------------------
% 0.24/0.32 % User time : 0.018 s
% 0.24/0.32 % System time : 0.015 s
% 0.24/0.32 % Total time : 0.033 s
% 0.24/0.32 % Maximum resident set size: 4608 pages
% 0.24/0.32 % E exiting
%------------------------------------------------------------------------------